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A bacteria population doubles every 4 hours. There are currently 2,000 bacteria in a restricted area. If t represents the time, in hours, and P(t) is the population of bacteria with respect to time, about how many bacteria will there be in 30 minutes?

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Zer00

The bacteria population doubles in 4 hours.

So, in 1 hour it increases by x/4 of its population, where x is population.

So in 1/2 hours or 30 minutes, the increase will be x/4 × 1/2 = x/8

=> if we start with 4000 bacterias, population increase after 30 minutes is 4000× 1/8 = 500

So, 500 more bacterias were added

Total bacterias = 4000+500 = 4500 bacterias

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